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HACTEHA [7]
3 years ago
10

What is the slope of a line that is perpendicular to 4x-8y=64

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer

Slope: -2

Step-by-step explanation:

Perpendicular slope is the negative reciprocal of the original slope.

The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.

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The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl
SIZIF [17.4K]

Answer:

a

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

b

t = -2.92

c

p-value  =  0.0016948

d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

   The  population mean is  \mu  =  \$ 181, 900

    The  sample size is  n =  40

    The  sample  mean is  \=  x  =  \$ 166,400

      The  sample  standard deviation is s= \$ 33, 500

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

 

Generally the test statistics is mathematically represented as

      t =  \frac{ \= x  -  \mu }{ \frac{s}{\sqrt{n} } }

=>    t =  \frac{  166400  - 181900 }{ \frac{33500}{\sqrt{40} } }

=>    t = -2.92

Generally the p-value is obtain from the z-table  the value is  

      p-value  =  P(Z < t ) = P(Z  <  -2.93) = 0.0016948

=>    p-value  =  0.0016948

From the calculation we see that  

     p-value  >  \alpha  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

3 0
3 years ago
Is 5/6 less than 4/5?
Likurg_2 [28]

no 5/6 is not less than 4/5


3 0
3 years ago
Read 2 more answers
Hey guys pls help <br> help me Find the Area of the Rhombus
Hatshy [7]

Answer:

210 m²

Step-by-step explanation:

The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.

Substitute the measures of the diagonal given.

35 * 12 * 0.5 = 210

The area is 210 m²

I hope this helps! Feel free to ask any questions!

Why is (D₁ + D₂)/2 incorrect?

This is a really helpful link:

http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/

https://byjus.com/maths/area-of-rhombus/

7 0
3 years ago
2x+3y &lt; 6<br> у Х + 1<br> What is the solution
qaws [65]

Answer:

Step-by-step explanation:

X <3y+1

4 0
3 years ago
Makayla invested $630 in an account paying an interest rate of 5.5% compounded continuously. Assuming no deposits or withdrawals
ivolga24 [154]

Answer:

19.7 or 20 rounded

Step-by-step explanation:

A = $ 1,861.65

A = P + I where

P (principal) = $ 630.00

I (interest) = $ 1,231.65

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / e^rt

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

3 0
3 years ago
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